"Implementation of a finite volume method and calculation of flows of a viscous compressible gas on graphics processor units"
Volkov K.N., Emelyanov V.N., Karpenko A.G., Smirnov P.G., Teterina I.V.

Possibilities of the use of general purpose graphics processor units for the numerical simulation of flows of a viscous compressible gas are discussed. A finite volume method is applied to solve the Navier-Stokes equations on unstructured meshes. The CUDA technology is used to implement parallel computational algorithms. The solution of some gas dynamics problems on graphics processor units is presented. A number of approaches to the optimization of program codes related to the use of different types of memory are discussed. The speed-up of solving procedures on graphics processor units is compared to their implementations on central processor units with the use of various meshes and various methods of distribution of input data into blocks.

Keywords: graphics processor unit, parallel algorithm, gas dynamics, finite volume method, unstructured mesh, CUDA technology

Volkov K.N., e-mail: dsci@mail.ru;   Emelyanov V.N., e-mail: vlademelyanov@gmail.com;   Smirnov P.G., e-mail: petr.s.8314@mail.ru;   Teterina I.V., e-mail: yaiv@mail.ru – Voenmekh D. Ustinov Baltic State Technical University, Faculty of Physics and Mechanics; Kransoarmeejskaja ulitsa 1, Sankt-Petersburg, 190005, Russia;
Karpenko A.G., e-mail: aspera.2003.ru@mail.ru – Saint-Petersburg State University, Faculty of Mathematics and Mechanics Faculty; prospect Universitetskii 28, St. Petersburg, 198504, Russia